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Finding the Third Proportional to 353,904 and 529,560

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Solution

The third proportional to 353,904 and 529,560 is: 792,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,904 : 529,560 = 529,560 : x
  2. Step 2: Convert to fraction form
    353,904/529,560 = 529,560/x
  3. Step 3: Cross multiply
    353,904x = 529,560 × 529,560
  4. Step 4: Simplify right side
    353,904x = 280,433,793,600
  5. Step 5: Solve for x
    x = 280,433,793,600/353,904
  6. Step 6: Final answer
    x = 792,400.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.